Question: Let W= = (b) 3 { [ [29] 3 3w+ 2x + 2y + 4z = 5w+ 4x + 2y + 4z EW E

Let W= = (b) 3 { [ [29] 3 3w+ 2x + 2y + 4z = 5w+ 4x + 2y + 4z EW E W W = span True True 5w+4x + 2y + 4z 2w + 3x + 5y + 3z. False (c) Show that W is a subspace of M2x2(F7). by writing W as the span of four different, nonzero matrices [ corresponding to w, x, y and z] False (d) What is the dimension of W? dim(W) (e) Find a basis of W: 3 w, z, y, z F7 } = [If there are fewer than 4 elements enter zeros in the last matrix (or matrices) ]

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